期刊
AIMS MATHEMATICS
卷 6, 期 12, 页码 13407-13422出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2021776
关键词
reaction-diffusion-convection equations; finite-dimensional dynamics on attractor; inertial manifold
This study focuses on dissipative reaction-diffusion-convection systems on the circle and identifies conditions under which the final phase dynamics can be described by an ODE with Lipschitz vector field in R-N. A recent construction of a parabolic problem in mathematical physics within this class lacks the indicated property.
We consider the class of dissipative reaction-diffusion-convection systems on the circle and obtain conditions under which the final (at large times) phase dynamics of a system can be described by an ODE with Lipschitz vector field in R-N. Precisely in this class, the first example of a parabolic problem of mathematical physics without the indicated property was recently constructed.
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